Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Simplify the expression:

[tex]\[ 4 \div (-6 - 4 + 3) + \left[ 15 \div (-7 + 2) - 9 \right] \div 6 \][/tex]

Sagot :

GinnyAnswer
Certainly! Let's solve the given expression step by step:

The expression is:
[tex]\[ 4 \div (-6 - 4 + 3) + \left[ 15 \div (-7 + 2) - 9 \right] \div 6 \][/tex]

### Step 1: Simplify the first part [tex]\(4 \div (-6 - 4 + 3)\)[/tex]

1. Simplify inside the parentheses:
[tex]\[ -6 - 4 + 3 = -7 \][/tex]

2. Substitute back into the division:
[tex]\[ 4 \div (-7) = -\frac{4}{7} \approx -0.5714285714285714 \][/tex]

### Step 2: Simplify the second part [tex]\( \left[ 15 \div (-7 + 2) - 9 \right] \div 6 \)[/tex]

1. Simplify inside the parentheses:
[tex]\[ -7 + 2 = -5 \][/tex]

2. Substitute back into the division:
[tex]\[ 15 \div (-5) = -3 \][/tex]

3. Now, subtract 9 from the result:
[tex]\[ -3 - 9 = -12 \][/tex]

4. Divide the result by 6:
[tex]\[ -12 \div 6 = -2 \][/tex]

### Step 3: Combine the results
Now we add the results of the first part and the second part:
[tex]\[ -0.5714285714285714 + (-2) = -2.571428571428571 \][/tex]

### Final Result
The value of the given expression is:
[tex]\[ 4 \div (-6 - 4 + 3) + \left[ 15 \div (-7 + 2) - 9 \right] \div 6 = -2.571428571428571 \][/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.